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Finding the Fourth Proportional to 235,788.45, 353,738.01 and 78,016.89

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Solution

The fourth proportional to 235,788.45, 353,738.01 and 78,016.89 is: 117,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,788.45 : 353,738.01 = 78,016.89 : x
  2. Step 2: Convert to fraction form
    235,788.45/353,738.01 = 78,016.89/x
  3. Step 3: Cross multiply
    235,788.45x = 353,738.01 × 78,016.89
  4. Step 4: Simplify right side
    235,788.45x = 27,597,539,414.99
  5. Step 5: Solve for x
    x = 27,597,539,414.99/235,788.45
  6. Step 6: Final answer
    x = 117,043.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.